{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:U5TS246MIS65DG3ZJ6LO5LG2B7","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"448e5c6caf63acbcb72a65b0f784609dd8935633ee0092a067ae9ccdbb14f091","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-10-03T21:24:24Z","title_canon_sha256":"b5f0ea73d0cf260468e3dd9390a153a3a5f4845ae0eb8c5a1a52cedd8d215f3b"},"schema_version":"1.0","source":{"id":"1210.1239","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.1239","created_at":"2026-05-18T03:01:47Z"},{"alias_kind":"arxiv_version","alias_value":"1210.1239v2","created_at":"2026-05-18T03:01:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.1239","created_at":"2026-05-18T03:01:47Z"},{"alias_kind":"pith_short_12","alias_value":"U5TS246MIS65","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"U5TS246MIS65DG3Z","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"U5TS246M","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:d36fa1698094624e4a4f53a43628f8cc2dc7e64a1ba917c0268b42979082db9e","target":"graph","created_at":"2026-05-18T03:01:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"These lecture notes are based on an introductory course given by the author at the summer school \"Noncommutative Algebraic Geometry\" at MSRI in June 2012. The emphasis throughout is on examples to illustrate the many different facets of symplectic reflection algebras. Exercises are included at the end of each lecture in order for the student to get a better feel for these algebras.","authors_text":"Gwyn Bellamy","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-10-03T21:24:24Z","title":"Symplectic reflection algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.1239","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ba4cce8f30dd1d16507b0ce24ec7f342e4693cbd8a4fbf203fdc782a122fa377","target":"record","created_at":"2026-05-18T03:01:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"448e5c6caf63acbcb72a65b0f784609dd8935633ee0092a067ae9ccdbb14f091","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-10-03T21:24:24Z","title_canon_sha256":"b5f0ea73d0cf260468e3dd9390a153a3a5f4845ae0eb8c5a1a52cedd8d215f3b"},"schema_version":"1.0","source":{"id":"1210.1239","kind":"arxiv","version":2}},"canonical_sha256":"a7672d73cc44bdd19b794f96eeacda0fca7c7cefd0e3de008a197561c1650459","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7672d73cc44bdd19b794f96eeacda0fca7c7cefd0e3de008a197561c1650459","first_computed_at":"2026-05-18T03:01:47.006035Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:01:47.006035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cFKFSV8b52hBc/tnbIjZaxz3FUBYBRfKpAx6ZpGq838isKN1lnrGu/Q6X6sELcGFc4EFUM/QpDsL9JBcxq6jDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:01:47.006575Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.1239","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba4cce8f30dd1d16507b0ce24ec7f342e4693cbd8a4fbf203fdc782a122fa377","sha256:d36fa1698094624e4a4f53a43628f8cc2dc7e64a1ba917c0268b42979082db9e"],"state_sha256":"fc4b4501d280fa5b8ad1f8952be40698a12addb584c665b3392daf31b7c5ef84"}